Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 805178, 9 pages
doi:10.1155/2010/805178
Research Article

Weight Identification of a Weighted Bipartite Graph Complex Dynamical Network with Coupling Delay

College of Science, Guilin University of Technology, Guilin 541004, China

Received 25 March 2010; Accepted 16 July 2010

Academic Editor: Alexander I. Domoshnitsky

Copyright © 2010 Zhen Jia and Guangming Deng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We propose a network model, a weighted bipartite complex dynamical network with coupling delay, and present a scheme for identifying the weights of the network. Based on adaptive synchronization technique, weight trackers are designed for identifying the edge weights between nodes of the network by monitoring the dynamical evolution of the synchronous networks with drive-response structure. The conclusion is proved theoretically by Lyapunovs stability theory and LaSalle's invariance principle. Compared with the similar works, taking into consideration the structural characteristics of the network, the tracking devices designed in our paper are more effective and more easy to implement. Finally, numerical simulations show the effectiveness of the proposed method.